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Finding the Fourth Proportional to 206,094.60, 309,084.80 and 72,957.36

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Solution

The fourth proportional to 206,094.60, 309,084.80 and 72,957.36 is: 109,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,094.60 : 309,084.80 = 72,957.36 : x
  2. Step 2: Convert to fraction form
    206,094.60/309,084.80 = 72,957.36/x
  3. Step 3: Cross multiply
    206,094.60x = 309,084.80 × 72,957.36
  4. Step 4: Simplify right side
    206,094.60x = 22,550,011,024.13
  5. Step 5: Solve for x
    x = 22,550,011,024.13/206,094.60
  6. Step 6: Final answer
    x = 109,415.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.